Finding the Third Proportional to 69,606 and 152,820

Step by Step Solution

1. Step 1: Write the proportion equation
   69,606 : 152,820 = 152,820 : x
2. Step 2: Convert to fraction form
   69,606/152,820 = 152,820/x
3. Step 3: Cross multiply
   69,606x = 152,820 × 152,820
4. Step 4: Simplify right side
   69,606x = 23,353,952,400
5. Step 5: Solve for x
   x = 23,353,952,400/69,606
6. Step 6: Final answer
   x = 335,516.37